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Finding the Fourth Proportional to 2,507.61, 3,761.97 and 752.61

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Solution

The fourth proportional to 2,507.61, 3,761.97 and 752.61 is: 1,129.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.61 : 3,761.97 = 752.61 : x
  2. Step 2: Convert to fraction form
    2,507.61/3,761.97 = 752.61/x
  3. Step 3: Cross multiply
    2,507.61x = 3,761.97 × 752.61
  4. Step 4: Simplify right side
    2,507.61x = 2,831,296.24
  5. Step 5: Solve for x
    x = 2,831,296.24/2,507.61
  6. Step 6: Final answer
    x = 1,129.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.